What is the Greatest Common Factor of 96096 and 96113?

Greatest common factor (GCF) of 96096 and 96113 is 1.

GCF(96096,96113) = 1

We will now calculate the prime factors of 96096 and 96113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96096 and 96113.

How to find the GCF of 96096 and 96113?

We will first find the prime factorization of 96096 and 96113. After we will calculate the factors of 96096 and 96113 and find the biggest common factor number .

Step-1: Prime Factorization of 96096

Prime factors of 96096 are 2, 3, 7, 11, 13. Prime factorization of 96096 in exponential form is:

96096 = 2⁵ × 3¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 96113

Prime factors of 96113 are 223, 431. Prime factorization of 96113 in exponential form is:

96113 = 223¹ × 431¹

Step-3: Factors of 96096

List of positive integer factors of 96096 that divides 96096 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 13, 14, 16, 21, 22, 24, 26, 28, 32, 33, 39, 42, 44, 48, 52, 56, 66, 77, 78, 84, 88, 91, 96, 104, 112, 132, 143, 154, 156, 168, 176, 182, 208, 224, 231, 264, 273, 286, 308, 312, 336, 352, 364, 416, 429, 462, 528, 546, 572, 616, 624, 672, 728, 858, 924, 1001, 1056, 1092, 1144, 1232, 1248, 1456, 1716, 1848, 2002, 2184, 2288, 2464, 2912, 3003, 3432, 3696, 4004, 4368, 4576, 6006, 6864, 7392, 8008, 8736, 12012, 13728, 16016, 24024, 32032, 48048

Step-4: Factors of 96113

List of positive integer factors of 96113 that divides 96096 without a remainder.

1, 223, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96096 and 96113. The biggest common factor number is the GCF number.
So the greatest common factor 96096 and 96113 is 1.

Also check out the Least Common Multiple of 96096 and 96113